Systems of Conics

How many solutions are there for these systems of equations?

• 1

• 2

• 3

• 4

• Infinitely many.

Write the graph of this graph.

What are the vertices of the hyperbola?

• (0, 3) and (0, -3)

• (-4, 3) and (-4, -3)

• (0, 1) and (0, -1)

• (4, 0) and (-4, 0)

What are the vertices of the hyperbola?

• (0, 5) and (0, -5)

• (5, 0) and (-5, 0)

• (0, 25) and (-25, 0)

• (0, 0) and (0, 5)

Is the hyperbola vertical or horizontal? 

• Vertical

• Horizontal

Find the equation of the figure shown.

• (x-1)²/16 - (y+2)²/4 = 1

• (x+1)²/16 - (y-2)²/4 = 1

• (y+2)²/4 - (x-1)²/16 = 1

• (x-1)²/4 - (y+2)²/2 = 1

What conic section is pictured?

• Circle

• Ellipse

• Parabola

• Hyperbola

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Center ?

• (-3 , 2)

• (2 , -3)

• (12 , 5)

• (5 , 12)

A circle and a hyperbola can have a maximum of ____ intersections.

• 5

• 2

• 3

• 4